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arXiv · 1806.05212

On the location of zeros of a polynomial in an ellipse by Hermitian forms

Priya Garg·Sourav Pal
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Abstract

Given a complex polynomial $p(z)$ of degree $n$ and an ellipse, we find an algorithm of determining the number of zeros of $p$ in the interior and exterior of the ellipse. Our results generalize the previous results of Pt\'ak and Young about the circles.

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Priya Garg, Sourav Pal. 2018-06-13. On the location of zeros of a polynomial in an ellipse by Hermitian forms. https://arxiv.org/abs/1806.05212

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